Results 31 to 40 of about 109 (105)
Oscillation theorems for second order nonlinear differential equations with deviating arguments
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 1, Page 35-45, 1987., 1986 New oscillation criteria for the oscillatory behaviour of the differential and are ...
S. R. Grace, B. S. Lalli
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Oscillatory solutions of singular equations arising in hydrodynamics [PDF]
, 2020 We investigate the singular differential equation (p(t)u (t)) = p(t)f (u(t)) on the half-line [0, ∞), where f satisfies the local Lipschitz condition on R and has at least two simple zeros.
Jakub Stryja +2 more
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Comparison theorems for fourth order differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 1, Page 105-109, 1986., 1985 This paper establishes an apparently overlooked relationship between the pair of fourth order linear equations yiv − p(x)y = 0 and yiv + p(x)y = 0, where p is a positive, continuous function defined on [0, ∞). It is shown that if all solutions of the first equation are nonoscillatory, then all solutions of the second equation must be nonoscillatory as ...
Garret J. Etgen, Willie E. Taylor Jr.
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New inequalities from classical Sturm theorems [PDF]
, 2004 23 pages, no figures.-- MSC2000 codes: Primary: 33C45; Secondary: 26D20, 34C10.MR#: MR2106538 (2006c:33007)Inequalities satisfied by the zeros of the solutions of second-order hypergeometric equations are derived through a systematic use of Liouville ...
Deaño Cabrera, Alfredo +3 more
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Oscillation criteria for certain nonlinear fourth order equations
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 551-557, 1983., 1983 This work investigates the behavior of solutions of certain nonlinear fourth order differential equations. An example is given showing that these equations can have both oscillatory and nonoscillatory solutions simultaneously. Finally, several criteria for the existence of oscillator solutions are established.
W. E. Taylor Jr.
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Electrostatic models for zeros of polynomials: Old, new, and some open problems [PDF]
, 2007 15 pages, 2 figures.-- MSC2000 codes: Primary, 30C15; Secondary, 34C10; 33C45; 42C05; 82B23.MR#: MR2345246 (2008h:33017)Zbl#: Zbl 1131.30002We give a survey concerning both very classical and recent results on the electrostatic interpretation of the ...
Marcellán, Francisco +6 more
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Qualitative properties of solutions of certain fourth order linear differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 4, Page 763-774, 1981., 1981 This work considers differential equations of the form where p, q and r are positive continuous functions defined on [0, ∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions. Such an investigation is important because the above equation often arises in the study of mechanical vibrations.
W. E. Taylor Jr.
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Necessary and Sufficient Condition for Oscillations of Neutral Differential Equation [PDF]
, 2005 2000 Mathematics Subject Classification: 34K15, 34C10.We obtain necessary and sufficient conditions for the oscillation of all solutions of neutral differential equation with mixed (delayed and advanced) arguments ..
Hassan, T., Elabbasy, E., Saker, S.
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Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation [PDF]
, 2007 19 pages, 2 figures.-- MSC2000 codes: 33C45; 34C10; 26D20.MR#: MR2356577 (2010c:33008)Zbl#: Zbl 1145.33002Liouville-Green transformations of the Gauss hypergeometric equation with changes of variable $$z(x)=\int\sp xt\sp {p-1}(1-t)\sp {q-1}dt$$ are ...
Deaño Cabrera, Alfredo +2 more
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Sturmian theorems for systems of differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 177-184, 1980., 1979 Two Sturmian theorems are established for second order linear nonhomogeneous systems of two differential equations with the use of a maximum principle. The results also hold for homogeneous systems. For illustration, an example is given.
C. Y. Chan
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